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Aplia: Student QuestionxCc ? https://courses. plia.com/af/se t/quiz7ctx ca sorgeO057&quiz; actionstak Quiz&quiz; probGuid-QNAPC0A80101000000414d8 0070000&ckt; ure 4. Calculating the standard deviation and the estimated standard error for the sample mean difference Aa Aa A researcher is interested in hamster wheel-running activity during the summer versus the winter. He suspects that either the hamsters will run less during the winter to conserve energy or they will run more to keep warm. He records the activity of n -25 hamsters during June, July, and August and compares their running-wheel revolutions per hour to the activity of the same hamsters during December, January, and February. The data are collected, and the results show an average difference score of Mo 5.4 and a sum of squares of SS- 1,142.64 What is the value for degrees of freedom for this repeated-measures t test? O 24 O 34 O 37 0 25 What is the sample standard deviation (s) for the D scores? O 1.38 6.9 O 47.61 O 1,142.64 What is the estimated standard error of the mean difference (sHD) for this study? O 1.17 O 1.90 1.38 O 0.28

Explanation / Answer

Given, n= 25

Average difference of score, Mo= 5.4

Sum of squares, SS= 1142.64

a) Degrees of freedom, df= n-1 = 25-1 = 24

b) Standard deviation(s) = ? (SS/ n-1) = ? (1142.64/24) = 6.9

c) Standard error of the mean difference = Standard Deviation / ?n = 6.9 / ? 25 = 1.38

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